Darboux integrability of generalized Yang-Mills Hamiltonian system

被引：12

作者：

Llibre, Jaume ^{[1
]}

Valls, Claudia ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[2] Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon, Portugal

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2016年 / 23卷 / 02期

关键词：

Hamiltonian systems; weight-homogenous differential systems; polynomial integrability; PAINLEVE PROPERTY; INTEGRALS; INVARIANT; EQUATIONS; MOTION;

D O I：

10.1080/14029251.2016.1175820

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the generalized Yang-Mills system with Hamiltonian H = (p(1)(2) + p(2)(2))/2 + V(q(1),q(2)) where V = 1/2(aq(1)(2) + bq(2)(2)) + (cq(1)(4) + 2eq(1)(2)q(2)(2) + dq(2)(4))/4 is not completely integrable with Darboux first integrals.

引用

页码：234 / 242

页数：9

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